Question

The city council is planning to construct a park on North Street that has a triangular perimeter. They want to place a fountain at a point equidistant from all three sides of the park. Where should the council place the fountain?

Answer 1

at the point of intersection of the angle bisectors and perpendicular bisectors of the park
at the center of the inscribed circle of the park
at the center of the circumscribed circle of the park
at the point of intersection of the lines perpendicular to two sides of the park
at the point of intersection of the medians of the park

Answer 2

@welshfella can you help?